University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 1 - Section 1.5 - Exponential Functions - Exercises - Page 38: 19



Work Step by Step

$$\Big(\frac{2}{\sqrt2}\Big)^4$$ As $2\gt0$ and $\sqrt{2}\gt0$, we can apply the law of exponents here. Applying this law: $$\Big(\frac{a}{b}\Big)^x=\frac{a^x}{b^x}$$ we have $$\Big(\frac{2}{\sqrt2}\Big)^4=\frac{2^4}{(\sqrt2)^4}=\frac{16}{4}=4$$
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